Before the crisis, the hospital had accounted for 17% of the $3.5 billion in annual revenue for its parent company, Texas Health Systems, according to credit rating agency Moody's. Presbyterian had been the second largest hospital among the 25 acute-care and short-stay facilities the chain owns.

The chain is taking a big financial hit from Presbyterian, but it has no plans to close the facility, a source familiar with hospital told CNN Friday.

Texas Health Systems had its credit rating upgraded by Standard & Poor's just this past June, and the source said the company has $3 billion in cash and other liquid assets, as well as a low debt level that will allow it to weather the financial storm. The company is in contact with the rating agencies about the ongoing situation.

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Moody's revised its outlook for the company to "developing" on Friday. That step is less severe than issuing a watch or a downgrade, but it still indicates concerns about the company's finances.

"The developing outlook reflects the uncertainty on the system's long-term financial performance, impact on financial resources and litigation risk following recent cases of Ebola at one of the system's flagship facilities," said Moody's.